Skip to main content
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
G. K. Batchelor, “Small-scale variation of convected quantities like temperature in turbulent fluid. Part 1. General discussion and the case of small conductivity,” J. Fluid Mech. 5, 113133 (1959).
A. Briard, T. Gomez, P. Sagaut, and S. Memari, “Passive scalar decay laws in isotropic turbulence: Prandtl effects,” J. Fluid Mech. 784, 274303 (2015).
A. Briard and T. Gomez, “Passive scalar convective-diffusive subrange for low Prandtl numbers in isotropic turbulence,” Phys. Rev. E 91, 011001 (2015).
G. Comte-Bellot and S. Corrsin, “The use of a contraction to improve the isotropy of a grid generated turbulence,” J. Fluid Mech. 25, 657 (1966).
C. Scalo, U. Piomelli, and L. Boegman, “High-Schmidt-number mass transport mechanisms from a turbulent flow to absorbing sediments,” Phys. Fluids 24, 4178 (2012).
P. K. Yeung, S. Xu, and K. R. Sreenivasan, “Schmidt number effects on turbulent transport with uniform mean scalar gradient,” Phys. Fluids 14, 4178 (2002).
J. Schumacher, K. R. Sreenivasan, and P. K. Yeung, “Schmidt number dependence of derivative moments for quasi-static straining motion,” J. Fluid Mech. 479, 221230 (2003).
P. K. Yeung, S. Xu, D. A. Donzis, and K. R. Sreenivasan, “Simulations of three-dimensional turbulent mixing for schmidt numbers of the order 1000,” Flow, Turbul. Combust. 72, 333347 (2004).
M. S. Borgas, B. L. Sawford, S. Xu, D. A. Donzis, and P. K. Yeung, “High Schmidt number scalars in turbulence: Structure functions and Lagrangian theory,” Phys. Fluids 14, 3888 (2004).
D. A. Donzis and P. K. Yeung, “Resolution effects and scaling in numerical simulations of passive scalar mixing in turbulence,” Physica D 239, 12781287 (2010).
K. A. Buch and W. J. A. Dahm, “Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part 1. Sc ≥ 1,” J. Fluid Mech. 317, 2171 (1996).
P. L. Miller and P. E. Dimotakis, “Measurements of scalar power spectra in high Schmidt number turbulent jets,” J. Fluid Mech. 308, 129146 (1996).
T. M. Lavertu, L. Mydlarski, and S. J. Gaskin, “Differential diffusion of high-Schmidt-number passive scalars in a turbulent jet,” J. Fluid Mech. 612, 439475 (2008).
M. Lesieur, Turbulence in Fluids (Springer, New York, 2008).
W. J. T. Bos, L. Chevillard, J. F. Scott, and R. Rubinstein, “Reynolds number effect on the velocity increment skewness in isotropic turbulence,” Phys. Fluids 24, 015108 (2012).
M. Meldi and P. Sagaut, “Further insights into self-similarity and self-preservation in freely decaying isotropic turbulence,” J. Turbul. 14, 2453 (2013).
T. Zhou, R. A. Antonia, L. Danaila, and F. Anselmet, “Transport equations for the mean energy and temperature dissipation rates in grid turbulence,” Exp. Fluids 28, 143151 (2000).
J. R. Ristorcelli, “Passive scalar mixing: Analytic study of time scale ratio, variance, and mix rate,” Phys. Fluids 18, 075101 (2006).
R. M. Kerr, “Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence,” J. Fluid Mech. 153, 3158 (1985).
R. A. Antonia and P. Orlandi, “Similarity of decaying isotropic turbulence with a passive scalar,” J. Fluid Mech. 505, 123151 (2004).
T. Gotoh, D. Fukayama, and T. Nakano, “Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation,” Phys. Fluids 14, 10651081 (2002).
W. K. George, “The decay of homogeneous isotropic turbulence,” Phys. Fluids A 4, 1492 (1992).
J. Schumacher, K. R. Sreenivasan, and P. K. Yeung, “Derivative moments in turbulent shear flows,” Phys. Fluids 15, 84 (2003).
W. K. George, “Self-preservation of temperature fluctuations in isotropic turbulence,” in Studies in Turbulence, edited by T. B. Gatski, C. G. Speziale, and S. Sarkar (Springer, New York, 1992), pp. 514528.

Data & Media loading...


Article metrics loading...



The mixed-derivative skewness of a passive scalar field in high Reynolds and Prandtl numbers decaying homogeneous isotropic turbulence is studied numerically using eddy-damped quasi-normal Markovian closure, for ≥ 103 up to = 105. A convergence of for ≥ 103 is observed for any high enough Reynolds number. This asymptotic high regime can be interpreted as a saturation of the mixing properties of the flow at small scales. The decay of the derivative skewnesses from high to low Reynolds numbers and the influence of large scales initial conditions are investigated as well.


Full text loading...


Access Key

  • FFree Content
  • OAOpen Access Content
  • SSubscribed Content
  • TFree Trial Content
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd